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134095824 = 2434107967
BaseRepresentation
bin1111111111000…
…10001111010000
3100100022202220000
413333202033100
5233312031244
621150050000
73215536632
oct777421720
9310282800
10134095824
116976a1a5
1238aa9900
1321a20b55
1413b48a52
15bb8c169
hex7fe23d0

134095824 has 100 divisors (see below), whose sum is σ = 392144544. Its totient is φ = 44235072.

The previous prime is 134095811. The next prime is 134095831. The reversal of 134095824 is 428590431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138189 + ... + 139155.

Almost surely, 2134095824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134095824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196072272).

134095824 is an abundant number, since it is smaller than the sum of its proper divisors (258048720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134095824 is a wasteful number, since it uses less digits than its factorization.

134095824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 134095824 is about 11579.9751295070. The cubic root of 134095824 is about 511.8449440952.

The spelling of 134095824 in words is "one hundred thirty-four million, ninety-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 321 324 428 432 642 648 856 963 967 1284 1296 1712 1926 1934 2568 2889 2901 3852 3868 5136 5778 5802 7704 7736 8667 8703 11556 11604 15408 15472 17334 17406 23112 23208 26109 34668 34812 46224 46416 52218 69336 69624 78327 103469 104436 138672 139248 156654 206938 208872 310407 313308 413876 417744 620814 626616 827752 931221 1241628 1253232 1655504 1862442 2483256 2793663 3724884 4966512 5587326 7449768 8380989 11174652 14899536 16761978 22349304 33523956 44698608 67047912 134095824